Question

A triangle has integer length sides. If two sides of the triangle are 16 and 21, how many possible lengths are there for the third side

Answer 1

There are 31 possible lengths for the third side.

Unknown Side +  16 > 21

Unknown Side >  5

16 + 21  > Unknown Side

37 > Unknown Side      

Unknown Side  <  37

So, the possible integer lengths range from

6 -  36  

=   36 - 6 + 1  

= 31 possible lengths

The length of the third side of a triangle has to continually be among (but not equal to) the sum and the distinction among the alternative facets. As an instance, take the example of two, 6, and seven. and consequently, the 0.33 facet length has to be extra than four and less than eight.

The regulation of Cosines to calculate the unknown aspect, then use the Law of Sines to find the smaller of the opposite angles and then use the 3 angles add to 180° to find the final attitude.

Learn more about triangles here brainly.com/question/2437195

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